L∞-error estimate for a system of elliptic quasivariational inequalities
We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type an...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120301189X |
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| author | M. Boulbrachene M. Haiour S. Saadi |
| author_facet | M. Boulbrachene M. Haiour S. Saadi |
| author_sort | M. Boulbrachene |
| collection | DOAJ |
| description | We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs). |
| format | Article |
| id | doaj-art-3085ecd3e19e43f4b00cd5b667ee53f3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3085ecd3e19e43f4b00cd5b667ee53f32025-02-03T01:02:40ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003241547156110.1155/S016117120301189XL∞-error estimate for a system of elliptic quasivariational inequalitiesM. Boulbrachene0M. Haiour1S. Saadi2Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khad, 123, OmanDépartement de Mathématiques, Faculté des Sciences, Université de Annaba, BP 12, Annaba 23000, AlgeriaDépartement de Mathématiques, Faculté des Sciences, Université de Annaba, BP 12, Annaba 23000, AlgeriaWe deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).http://dx.doi.org/10.1155/S016117120301189X |
| spellingShingle | M. Boulbrachene M. Haiour S. Saadi L∞-error estimate for a system of elliptic quasivariational inequalities International Journal of Mathematics and Mathematical Sciences |
| title | L∞-error estimate for a system of elliptic quasivariational inequalities |
| title_full | L∞-error estimate for a system of elliptic quasivariational inequalities |
| title_fullStr | L∞-error estimate for a system of elliptic quasivariational inequalities |
| title_full_unstemmed | L∞-error estimate for a system of elliptic quasivariational inequalities |
| title_short | L∞-error estimate for a system of elliptic quasivariational inequalities |
| title_sort | l∞ error estimate for a system of elliptic quasivariational inequalities |
| url | http://dx.doi.org/10.1155/S016117120301189X |
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